Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10589137 |
| Sylow | C32 ⋊ C2×#365 |
369 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #72222746, #72222777, #72222853, … |
| maximal normal subgroup of | #72222746, #72222777, #72222853, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 31114);